Respuesta :
Answer: The required slope of the line GH is [tex]-\dfrac{9}{7}.[/tex]
Step-by-step explanation: Given that the line GH contains the points G(-2, 6) and H(5, -3).
We are to find the slope of GH.
The slope of a line segment containing the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the line GH is given by
[tex]m=\dfrac{-3-6}{5-(-2)}=-\dfrac{9}{7}.[/tex]
Thus, the required slope of the line GH is [tex]-\dfrac{9}{7}.[/tex]
